A rectangle garden measuring 13 meters by 15meters is to have agravek pathway of constant width built all around it. there is wnough gravel to cover 80 sqaure meters or less. enter an inequality that represents all the posible width, in meters, of the pathway

Step-by-step explanation:

The area of a rectangle can be calculated multiplying its dimensions.

Observe the figure attached, where "w" is the constant width of the gravel pathway around the rectangular garden.

You can notice that the length of the rectangular garden is 15 meters and the width is 13 meters. Then, its area is:

Based on the figure, you can determine that the dimensions of the pathway around the garden are:

Therefore, the area of that gravel pathway would be:

Its area must be less than or equal to 80 square meters, then you can write the following inequality that represents all the posible width, in meters, of the pathway:

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

step-by-step explanation: